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The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
<h3>What is the scale factor?</h3>
In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.
Given that:-
- The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)
The length and width of the outside edge will be:-
The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-
Length = 3 ( 2x+4 ) = 6x + 12
Width = 3 ( 3x+2 ) = 9x + 6
Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
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Answer:
a=2
b=3
c=5
d=-3
Step-by-step explanation:
a + b = c
a-c=d
a+b=5
a+b =5
a = 2
2+b =5
Subtract 2 from each side
2+b-2 =5-2
b=3
a + b = c
2+3 = c
5=c
a-c=d
2-5 =d
-3 =d
Answer:
La torre tiene 543.78 pies de altura.
Step-by-step explanation:
Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).
Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.
Entonces simplemente podemos usar la relación:
Sin(θ) = (cateto opuesto)/(hipotenusa)
donde:
cateto opuesto = H
θ = 65°
hipotenusa = 600 ft
sin(65°) = H/600ft
sin(65°)*600ft = H = 543.78 ft
La torre tiene 543.78 pies de altura.
The m in the equation is the slope and the y-intercept is the b.
y=1x-1
y=mx+b